Geometry of Submanifolds and Homogeneous Spaces

The present Special Issue of Symmetry is devoted to two important areas of global Riemannian geometry, namely submanifold theory and the geometry of Lie groups and homogeneous spaces. Submanifold theory originated from the classical geometry of curves and surfaces. Homogeneous spaces are manifolds t...

Ausführliche Beschreibung

Gespeichert in:
Hauptverfasser:
Kaimakamis, George, Arvanitoyeorgos, Andreas
Format:
Elektronisch E-Book
Veröffentlicht:
MDPI - Multidisciplinary Digital Publishing Institute 2020
Zusammenfassung:
The present Special Issue of Symmetry is devoted to two important areas of global Riemannian geometry, namely submanifold theory and the geometry of Lie groups and homogeneous spaces. Submanifold theory originated from the classical geometry of curves and surfaces. Homogeneous spaces are manifolds that admit a transitive Lie group action, historically related to F. Kleins Erlangen Program and S. Lies idea to use continuous symmetries in studying differential equations. In this Special Issue, we provide a collection of papers that not only reflect some of the latest advancements in both areas, but also highlight relations between them and the use of common techniques. Applications to other areas of mathematics are also considered
Umfang:
1 electronic resource (128 pages)
Anmerkungen:
eng
ISBN:
9783039280001
9783039280018
Zugangseinschränkungen:
Open Access
Schlagworte:
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